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Population dynamics driven by truncated stable processes with Markovian switching
Published online by Cambridge University Press: 23 June 2021
Abstract
We focus on the population dynamics driven by two classes of truncated $\alpha$-stable processes with Markovian switching. Almost necessary and sufficient conditions for the ergodicity of the proposed models are provided. Also, these results illustrate the impact on ergodicity and extinct conditions as the parameter $\alpha$ tends to 2.
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- © The Author(s), 2021. Published by Cambridge University Press on behalf of Applied Probability Trust
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